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Finding the Third Proportional to 828,788,682,810 and 1,803,516,785,343

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Solution

The third proportional to 828,788,682,810 and 1,803,516,785,343 is: 3,924,610,533,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,788,682,810 : 1,803,516,785,343 = 1,803,516,785,343 : x
  2. Step 2: Convert to fraction form
    828,788,682,810/1,803,516,785,343 = 1,803,516,785,343/x
  3. Step 3: Cross multiply
    828,788,682,810x = 1,803,516,785,343 × 1,803,516,785,343
  4. Step 4: Simplify right side
    828,788,682,810x = 3,252,672,795,013,948,922,396,672
  5. Step 5: Solve for x
    x = 3,252,672,795,013,948,922,396,672/828,788,682,810
  6. Step 6: Final answer
    x = 3,924,610,533,997.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.